3 years ago

State whether the data given is continuous (C) or discrete (D):

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Answer:

Step-by-step explanation:

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Slope intercept form of : y=(2/5)x+7

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What algebraic expression is equivalent to this expression?<br> 9(2x+6) - 18

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Answer:

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Step-by-step explanation:

9(2x+6) - 18

Distribute

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Combine like terms

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Step-by-step explanation:

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Find the cost function for the marginal cost function. C(x) =0.06 e 0.08x; fixed cost is $10 C(x)=_______

sashaice [31]

Answer:

The cost function for $C(x) = 0.06\cdot e^{0.08\cdot x}$ is $c(x) = 0.75\cdot e^{0.08\cdot x}+10$ .

Step-by-step explanation:

The marginal cost function ( $C(x)$ ) is the derivative of the cost function ( $c(x)$ ), then, we should integrate the marginal cost function to find the resulting expression. That is:

$c(x) = \int {C(x)} \, dx + C_{f}$

Where:

$C_{f}$ - Fixed costs, measured in US dollars.

If we know that $C(x) = 0.06\cdot e^{0.08\cdot x}$ and $C_{f} = \$\,10$ , then:

$c(x) = 0.06\int {e^{0.08\cdot x}} \, dx + 10$

$c(x) = 0.75\cdot e^{0.08\cdot x}+10$

The cost function for $C(x) = 0.06\cdot e^{0.08\cdot x}$ is $c(x) = 0.75\cdot e^{0.08\cdot x}+10$ .

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3 years ago